Table 9.
Growth parameters and their 95% confidence limits and coefficients of determination (r 2), SSE, and RMSE of fit obtained with different growth models for average plate count growth curves of Escherichia coli CECT 4031 at 37°C in pH 5 TSB+YE inoculating 102, 104, and 106 CFU mL−1 shown in Figure 3(c).
| Growth model | Initial concentration (CFU mL−1) | Lag time (h) | Growth rate (log cycles h−1) |
y
0
(log CFU mL−1) |
C
(log cycles) |
β | r 2 | SSE | RMSE |
|---|---|---|---|---|---|---|---|---|---|
| Three-phase linear | 102 | 1.61 (1.41–1.81) |
0.518 (0.507–0.526) |
2.011 (1.800–2.220) |
— | 0.992 | 0.3897 | 0.1731 | |
| 104 | 1.63 (1.39–1.89) |
0.521 (0.508–0.544) |
4.108 (3.790–4.430) |
5.175 | 0.991 | 0.4079 | 0.1771 | ||
| 106 | 1.74 (1.45–2.02) |
0.574 (0.523–0.627) |
6.052 (5.920–6.180) |
3.229 | 0.948 | 0.9450 | 0.2931 | ||
|
| |||||||||
| Gompertz | 102 | 1.49 (0.57–2.42) |
0.576 (0.531–0.620) |
1.687 (1.330–2.043) |
7.489 (5.845–9.132) |
0.997 | 0.1518 | 0.1125 | |
| 104 | 1.55 (0.97–2.13) |
0.580 (0.549–0.611) |
3.862 (3.641–4.083) |
7.252 (6.270–8.234) |
0.999 | 0.0669 | 0.0747 | ||
| 106 | 2.25 (1.63–2.88) |
0.692 (0.515–0.869) |
6.180 (5.988–6.372) |
3.233 (2.898–3.568) |
0.985 | 0.3275 | 0.1652 | ||
|
| |||||||||
| Logistic | 102 | 0.41 (−1.52–2.34) |
0.578 (0.520–0.635) |
1.011 (0.223–1.799) |
7.501 (5.528–9.474) |
0.995 | 0.2043 | 0.1305 | |
| 104 | 0.85 (−0.11–1.81) |
0.593 (0.557–0.630) |
3.344 (2.965–3.722) |
6.952 (6.051–7.852) |
0.998 | 0.0727 | 0.0778 | ||
| 106 | 2.28 (1.64–2.93) |
0.728 (0.576–0.880) |
6.065 (5.866–6.265) |
3.264 (2.987–3.541) |
0.992 | 0.1763 | 0.1212 | ||
|
| |||||||||
| Richards | 102 | 1.49 (−0.21–3.19) |
0.002 (−3.220–3.224) |
1.686 (0.453–2.919) |
7.488 (4.798–10.180) |
0.001 (−2.065–2.067) |
0.996 | 0.1519 | 0.1175 |
| 104 | 1.53 (0.45–2.60) |
0.061 (−1.745–1.867) |
3.839 (3.100–4.578) |
7.214 (5.605–8.822) |
0.041 (−1.248–1.330) |
0.998 | 0.0671 | 0.0781 | |
| 106 | 2.11 (1.08–3.14) |
0.953 (0.749–1.157) |
5.573 (4.954–6.192) |
3.691 (3.069–4.312) |
7.363 (−3.876–18.600) |
0.996 | 0.0874 | 0.0891 | |
|
| |||||||||
| Baranyi | 102 | 1.32 (0.71–1.92) |
0.523 (0.489–0.556) |
1.807 | — | 0.996 | 0.1176 | ||
| 104 | 1.79 (1.45–1.92) |
0.568 (0.539–0.598) |
4.040 | 5.512 | 0.999 | 0.0624 | |||
| 106 | 2.35 (1.76–2.93) |
0.687 (0.528–0.849) |
6.181 | 3.093 | 0.991 | 0.1288 | |||